A process is performed on 2 moles of an ideal mono-atomic gas in which its entropy depends on absolute temperature T as \(S=\frac{α}{T}\), where α is a constant. What is the work performed by the gas if its temperature varies from T1 to T2 ?
1
\(\alpha \ln \left(\frac{T_1}{T_2}\right)\)
2
\(+\alpha \left[\frac{1}{T_2}-\frac{1}{T_1}\right]\)
3
\(\alpha \ln \left(\frac{T_1}{T_2}\right)+3R\left(T_1-T_2\right)\)
4
\(\alpha \left[\frac{1}{T_2}-\frac{1}{T_1}\right]+\frac{3}{2}R\left(T_1-T_2\right)\)